X^2-(k-5)x-k=0

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Solution for X^2-(k-5)x-k=0 equation:


Simplifying
X2 + -1(k + -5) * x + -1k = 0

Reorder the terms:
X2 + -1(-5 + k) * x + -1k = 0

Reorder the terms for easier multiplication:
X2 + -1x(-5 + k) + -1k = 0
X2 + (-5 * -1x + k * -1x) + -1k = 0

Reorder the terms:
X2 + (-1kx + 5x) + -1k = 0
X2 + (-1kx + 5x) + -1k = 0

Reorder the terms:
X2 + -1k + -1kx + 5x = 0

Solving
X2 + -1k + -1kx + 5x = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add 'k' to each side of the equation.
X2 + -1k + -1kx + k + 5x = 0 + k

Reorder the terms:
X2 + -1k + k + -1kx + 5x = 0 + k

Combine like terms: -1k + k = 0
X2 + 0 + -1kx + 5x = 0 + k
X2 + -1kx + 5x = 0 + k
Remove the zero:
X2 + -1kx + 5x = k

Add 'kx' to each side of the equation.
X2 + -1kx + kx + 5x = k + kx

Combine like terms: -1kx + kx = 0
X2 + 0 + 5x = k + kx
X2 + 5x = k + kx

Add '-5x' to each side of the equation.
X2 + 5x + -5x = k + kx + -5x

Combine like terms: 5x + -5x = 0
X2 + 0 = k + kx + -5x
X2 = k + kx + -5x

Simplifying
X2 = k + kx + -5x

Reorder the terms:
X2 + -1k + -1kx + 5x = k + -1k + kx + -1kx + -5x + 5x

Combine like terms: k + -1k = 0
X2 + -1k + -1kx + 5x = 0 + kx + -1kx + -5x + 5x
X2 + -1k + -1kx + 5x = kx + -1kx + -5x + 5x

Combine like terms: kx + -1kx = 0
X2 + -1k + -1kx + 5x = 0 + -5x + 5x
X2 + -1k + -1kx + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
X2 + -1k + -1kx + 5x = 0

The solution to this equation could not be determined.

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